How do you write the equation y+2=5/3(x+6) in standard form?

Mar 12, 2017

$5 x - 3 y = - 24$

Explanation:

The equation of a line in $\textcolor{b l u e}{\text{standard form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{A x + B y = C} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where A is a positive integer and B, C are integers.

distribute the bracket and rearrange into this form.

$y + 2 = \frac{5}{3} x + 10$

$\Rightarrow y = \frac{5}{3} x + 10 - 2$

$\Rightarrow y = \frac{5}{3} x + 8$

multiply through by 3 to eliminate the fraction.

$\Rightarrow 3 y = 5 x + 24$

$\Rightarrow 5 x - 3 y = - 24 \leftarrow \textcolor{red}{\text{ in standard form}}$